Answer:
129 points
Step-by-step explanation:
Let L and C represent the scores of Luke and Caleb, respectively.
L = 2C -15 . . . . . Luke scored 15 less than twice the number Caleb did
L +C = 201 . . . . . they scored 201 points altogether
Add twice the second equation to the first:
2(L +C) + (L) = 2(201) + (2C -15)
3L +2C = 387 +2C . . . . simplify
3L = 387 . . . . . . . . . . . . .subtract 2C
L = 387/3 = 129 . . . . . . .divide by 3
Luke scored 129 points.
I think it should be option d
Answer:
Area =
square centimeter
If the circumference of the hub cap would have been smaller, then its radius would have been smaller and subsequently its area would also have been less.
Step-by-step explanation:
As we know the circumference of a circle is 
The radius of the hub cap needs to be devised to determine the area


centimeters
Area of the hub cap = 
Substituting the devised value of r in the above equation, we get -

square centimeter
If the circumference of the hub cap would have been smaller, then its radius would have been smaller and subsequently its area would also have been less.
Simply multiply 0.7 by 100. 0.7 x 100= 70%. The answer is 70%
Answer:
x = 5.5
Step-by-step explanation:
Given 2 secants intersecting the circle from a point outside the circle then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
x(x + 14) = 6(6 + 12)
x² + 14x = 6 × 18 = 108 ( subtract 108 from both sides )
x² + 14x - 108 = 0 ← in standard form
with a = 1, b = 14 and c = - 108
Using the quadratic formula to solve for x
x = ( - b ±
) / 2a
= ( - 14 ±
) / 2
= ( - 14 ±
) / 2
= ( - 14 ±
) / 2
x =
or x = 
x = - 19.5 or x = 5.5 ( to 1 dec. place )
However x > 0 ⇒ x = 5.5